Random word

Desarguesian is an English word. Below you'll find 8 example sentences showing how it's used in practice.

Rare word

Desarguesian in a sentence

Desarguesian meaning

Of or relating to Girard Desargues (1591–1661), French mathematician and engineer, one of the founders of projective geometry.

Using Desarguesian

  • The main meaning on this page is: Of or relating to Girard Desargues (1591–1661), French mathematician and engineer, one of the founders of projective geometry.

Context around Desarguesian

  • Average sentence length in these examples: 24.8 words
  • Position in the sentence: 1 start, 3 middle, 4 end
  • Sentence types: 7 statements, 1 questions, 0 exclamations

Often before:

non 5× regard 1×

Often after:

projective 3× planes 3× plane 1× spaces 1×

Sentence patterns with Desarguesian

These short patterns come directly from the example sentences and show how the word is often embedded:

a non desarguesian projective plane 1× called non desarguesian projective planes 1× every non desarguesian plane contain 1× examples of desarguesian projective planes 1× fails non desarguesian planes these 1× permitting non desarguesian planes to 1× theorem and desarguesian planes the 1× to regard desarguesian spaces as 1×

Sentence openings and endings

Common sentence openings:

an open question 1× another longstanding open 1× desargues theorem and 1× the real or 1×

Common sentence endings:

a fano subplane 1× area of research 1× as completely known 1× desarguesian projective planes 1× dimensional projective space 1× in their theorems 1×

Words around Desarguesian

Just before it in the word index:

desargues 5 desaparecidos 2 desanto 8 desantismembers 2 desantis 1.133 desantiago 2

Just after it in the word index:

desarno 3 desarrollo 2 desaturated 7 desaturation 4 desaulnier 9 desaulniers 2

Similar in corpus frequency:

aaaaa 11 aaba 11 aafc 11 aaib 11 aalbers 11 aardvarks 11

Corpus analysis for Desarguesian

  • In this selection, "desarguesian" usually appears near the end of the sentence. The average example has 24.8 words, and this corpus slice is mostly made up of statements.
  • Around the word, non, regard, projective, planes and plane stand out and add context to how "desarguesian" is used.
  • Recognizable usage signals include a non desarguesian projective plane and called non desarguesian projective planes. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "desarguesian" sits close to words such as aaaaa, aaba and aafc, which helps place it inside the broader word index.

Example types with desarguesian

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

An open question is: Does every non-desarguesian plane contain a Fano subplane? (13 words)

They are called non-Desarguesian projective planes and are an active area of research. (14 words)

On the one hand, the researcher into the foundations of geometry tends to regard Desarguesian spaces as completely known. (19 words)

Longer example sentences

On the other hand stand all those researchers - and especially, the algebraic geometers - who are unwilling to be bound to two-dimensional space and uninterested in permitting non-Desarguesian planes to assume an exceptional role in their theorems. (38 words)

Desargues' theorem and Desarguesian planes The theorem of Desargues is universally valid in a projective plane if and only if the plane can be constructed from a three-dimensional vector space over a skewfield as above. (36 words)

Another longstanding open problem is whether there exist finite projective planes of prime order which are not finite field planes (equivalently, whether there exists a non-Desarguesian projective plane of prime order). (32 words)

Question examples

An open question is: Does every non-desarguesian plane contain a Fano subplane? (13 words)

Example sentences (8)

An open question is: Does every non-desarguesian plane contain a Fano subplane?

Another longstanding open problem is whether there exist finite projective planes of prime order which are not finite field planes (equivalently, whether there exists a non-Desarguesian projective plane of prime order).

Desargues' theorem and Desarguesian planes The theorem of Desargues is universally valid in a projective plane if and only if the plane can be constructed from a three-dimensional vector space over a skewfield as above.

On the one hand, the researcher into the foundations of geometry tends to regard Desarguesian spaces as completely known.

On the other hand stand all those researchers - and especially, the algebraic geometers - who are unwilling to be bound to two-dimensional space and uninterested in permitting non-Desarguesian planes to assume an exceptional role in their theorems.

Since there are projective planes in which Desargues' theorem fails ( non-Desarguesian planes ), these planes can not be embedded in a higher-dimensional projective space.

The real (or complex) projective plane and the projective plane of order 3 given above are examples of Desarguesian projective planes.

They are called non-Desarguesian projective planes and are an active area of research.

Frequently asked questions

How do you use "desarguesian" in a sentence?
An example: "An open question is: Does every non-desarguesian plane contain a Fano subplane?" This page contains 8 example sentences with the word "desarguesian" from authentic English texts.
What does "desarguesian" mean?
Desarguesian means: Of or relating to Girard Desargues (1591–1661), French mathematician and engineer, one of the founders of projective geometry.
How many example sentences with "desarguesian" are there?
Voorbeeldzinnen.info contains 8 example sentences with "desarguesian", drawn from a database of millions of English sentences.